43 citations · 72 across the 11 of their papers we have counts for
11 papers
Toric schemes and integral models for Shimura varieties with -type level
Georgios Pappas, Michael Rapoport
We propose a conjectural theory of -integral models of Shimura varieties with level structure at given by a class of normal subgroups of parahoric subgroups with abelian quo…
Regular integral models for Shimura varieties of orthogonal type
Georgios Pappas, Ioannis Zachos
We consider Shimura varieties for orthogonal or spin groups acting on hermitian symmetric domains of type IV. We give regular p-adic integral models for these varieties over odd pr…
Volume and symplectic structure for l-adic local systems
G. Pappas
We introduce a notion of volume for an l-adic local system over an algebraic curve and, under some conditions, give a symplectic form on the rigid analytic deformation space of the…
On the supersingular locus of the GU(2,2) Shimura variety
Benjamin Howard, George Pappas
We describe the supersingular locus of a GU(2,2) Shimura variety at a prime inert in the corresponding quadratic imaginary field.
Adams operations and Galois structure
G. Pappas
We present a new method for determining the Galois module structure of the cohomology of coherent sheaves on varieties over the integers with a tame action of a finite group. This…
Local models of Shimura varieties, I. Geometry and combinatorics
G. Pappas, M. Rapoport, B. Smithling
We survey the theory of local models of Shimura varieties. In particular, we discuss their definition and illustrate it by examples. We give an overview of the results on their geo…